No, as long as you (and your parents) haven't claimed it 4 times in the past, on your education. All TurboTax will do is check no, on form 8863, when asked "Has the American opportunity credit been claimed for this student for any 4 prior tax years?"
Actually, the question wasn't about last year, it was about any time in the past. Had you answered yes, you then would have been asked how many times it was claimed.